The paper presents a somewhat extended approach to the cutting tools classification. After that authors present results of the research concerning the form – grinding of spur gears with helical teeth. The modern gear – grinding machine Rapid 900 of HOEFLER is described and results of the accuracy and surface roughness researches are given. Then an example is given, based on references, of the bevel spherical involute, gears cutting, illustrating the development from the cutting of very large straight bevel gears based on the double tracing method suitable for old template – type bevel gear planers to the modern approach using CNC milling machine (3 or 4axis controlled, the principle of Free Form Surfaces cutting).
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